It has recently been claimed that many of the discrete time-frequency representations (TFRs), including the alias free generalize time-frequency distributions (AF-GDTFD), contain aliasing components. This paper shows that the class of AF-GDTFD does indeed displace both cross term and auto term energy in ways not characteristic of continuous TFRs, but this energy displacement does not satisfy ou...

Hybrid Filter Banks allow wide-band, high frequency conversion. All existing design methods suppose that the input signal is band-limited and that each sub-band signal is sampled at 1/M times the effective Nyquist frequency of the input signal 1/T . To avoid aliasing in the sampling process, an analog anti-aliasing filter should be used in order to eliminate noise in frequency bands in which th...